Class information for:
Level 1: BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
35251 100 6.6 30%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
2139 2             DISTRIBUTED PARAMETER SYSTEMS//CARLEMAN ESTIMATES//NULL CONTROLLABILITY 5047
35251 1                   BOUNDARY CONTROL THEORY//COMPUTATER//HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION 100

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 BOUNDARY CONTROL THEORY authKW 305356 1% 100% 1
2 COMPUTATER address 305356 1% 100% 1
3 HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION authKW 305356 1% 100% 1
4 SPECTRAL DECOMPOSITION METHOD authKW 305356 1% 100% 1
5 STEKLOV MAT address 305356 1% 100% 1
6 WELL POSEDNESS OF PROBLEMS authKW 305356 1% 100% 1
7 DOKLADY MATHEMATICS journal 280848 53% 2% 53
8 COMPUTAT MATH CYBERNET address 257641 28% 3% 28
9 VA STEKLOV MATH address 160588 26% 2% 26
10 DAMPING OF OSCILLATIONS authKW 152677 1% 50% 1

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 5223 97% 0% 97
2 Mathematics, Applied 29 8% 0% 8
3 Automation & Control Systems 6 2% 0% 2
4 Multidisciplinary Sciences 2 1% 0% 1
5 Instruments & Instrumentation 1 2% 0% 2

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMPUTATER 305356 1% 100% 1
2 STEKLOV MAT 305356 1% 100% 1
3 COMPUTAT MATH CYBERNET 257641 28% 3% 28
4 VA STEKLOV MATH 160588 26% 2% 26
5 STEKLOV MATH 81512 14% 2% 14
6 PL STUDIES 20355 1% 7% 1
7 DORODNITSYN COMP 3114 1% 1% 1
8 DORODNICYN COMP 491 1% 0% 1
9 SOBOLEV MATH 320 1% 0% 1
10 SIBERIAN BRANCH 11 1% 0% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 DOKLADY MATHEMATICS 280848 53% 2% 53
2 DIFFERENTIAL EQUATIONS 94746 34% 1% 34
3 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 10518 6% 1% 6
4 AUTOMATION AND REMOTE CONTROL 322 2% 0% 2
5 RUSSIAN MATHEMATICAL SURVEYS 122 1% 0% 1
6 DOKLADY AKADEMII NAUK BELARUSI 105 1% 0% 1
7 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 98 1% 0% 1
8 ABSTRACT AND APPLIED ANALYSIS 68 1% 0% 1
9 MATHEMATICAL NOTES 59 1% 0% 1

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 BOUNDARY CONTROL THEORY 305356 1% 100% 1 Search BOUNDARY+CONTROL+THEORY Search BOUNDARY+CONTROL+THEORY
2 HIGHER ORDER PARTIAL DIFFERENTIAL EQUATION 305356 1% 100% 1 Search HIGHER+ORDER+PARTIAL+DIFFERENTIAL+EQUATION Search HIGHER+ORDER+PARTIAL+DIFFERENTIAL+EQUATION
3 SPECTRAL DECOMPOSITION METHOD 305356 1% 100% 1 Search SPECTRAL+DECOMPOSITION+METHOD Search SPECTRAL+DECOMPOSITION+METHOD
4 WELL POSEDNESS OF PROBLEMS 305356 1% 100% 1 Search WELL+POSEDNESS+OF+PROBLEMS Search WELL+POSEDNESS+OF+PROBLEMS
5 DAMPING OF OSCILLATIONS 152677 1% 50% 1 Search DAMPING+OF+OSCILLATIONS Search DAMPING+OF+OSCILLATIONS
6 DALEMBERTS FORMULA 76338 1% 25% 1 Search DALEMBERTS+FORMULA Search DALEMBERTS+FORMULA
7 FERMAT PROBLEM 76338 1% 25% 1 Search FERMAT+PROBLEM Search FERMAT+PROBLEM
8 CLASSICAL SOLUTION 2365 1% 1% 1 Search CLASSICAL+SOLUTION Search CLASSICAL+SOLUTION
9 HYPERBOLIC EQUATIONS 1081 1% 0% 1 Search HYPERBOLIC+EQUATIONS Search HYPERBOLIC+EQUATIONS
10 WAVE EQUATION 789 2% 0% 2 Search WAVE+EQUATION Search WAVE+EQUATION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 MOISEEV, EI , KHOLOMEEVA, AA , (2012) OPTIMIZATION OF THE BOUNDARY CONTROL OF STRING VIBRATIONS AT ONE STRING END WITH A GIVEN MODE AT THE OTHER END.DOKLADY MATHEMATICS. VOL. 86. ISSUE 1. P. 454-456 11 100% 0
2 IL'IN, VA , KULESHOV, AA , (2014) EQUIVALENCE OF TWO DEFINITIONS OF A GENERALIZED L (P) SOLUTION TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE WAVE EQUATION.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 284. ISSUE 1. P. 155-160 7 100% 0
3 IL'IN, VA , MOISEEV, EI , (2005) OPTIMIZATION OF BOUNDARY CONTROLS OF STRING VIBRATIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 60. ISSUE 6. P. 1093-1119 9 90% 7
4 IL'IN, VA , (2010) OPTIMIZATION OF THE BOUNDARY CONTROL BY A DISPLACEMENT OR BY AN ELASTIC FORCE ON ONE END OF A STRING UNDER A MODEL NONLOCAL BOUNDARY CONDITION.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 268. ISSUE 1. P. 117-129 7 100% 0
5 IL'IN, VA , KULESHOV, AA , (2013) NECESSARY AND SUFFICIENT CONDITIONS FOR A GENERALIZED SOLUTION TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE WAVE EQUATION TO BELONG TO W (P) (1) WITH P 1.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 283. ISSUE 1. P. 110-115 6 100% 1
6 IL'IN, AVA , MOISEEV, AEI , (2007) OPTIMIZATION OF A BOUNDARY CONTROL BY A DISPLACEMENT AT ONE END OF A STRING WITH SECOND END FREE DURING AN ARBITRARY SUFFICIENTLY LARGE TIME INTERVAL.DOKLADY MATHEMATICS. VOL. 76. ISSUE 3. P. 806-811 7 100% 0
7 KULESHOV, AA , (2012) MIXED PROBLEMS FOR THE EQUATION OF LONGITUDINAL VIBRATIONS OF A HETEROGENEOUS ROD WITH A FREE OR FIXED RIGHT END CONSISTING OF TWO SEGMENTS WITH DIFFERENT DENSITIES AND ELASTICITIES.DOKLADY MATHEMATICS. VOL. 85. ISSUE 1. P. 80-82 6 100% 1
8 SMIRNOV, IN , (2012) OSCILLATIONS OF THE PROCESS DESCRIBED BY THE TELEGRAPH EQUATION FOR A SYSTEM CONSISTING OF TWO SEGMENTS WITH DIFFERENT DENSITIES AND ELASTICITIES.DOKLADY MATHEMATICS. VOL. 85. ISSUE 1. P. 63-67 6 100% 0
9 KULESHOV, AA , (2012) MIXED PROBLEMS FOR THE EQUATION OF LONGITUDINAL VIBRATIONS OF A HETEROGENEOUS ROD AND FOR THE EQUATION OF TRANSVERSE VIBRATIONS OF A HETEROGENEOUS STRING CONSISTING OF TWO SEGMENTS WITH DIFFERENT DENSITIES AND ELASTICITIES.DOKLADY MATHEMATICS. VOL. 85. ISSUE 1. P. 98-101 6 100% 0
10 ROGOZHNIKOV, AM , (2012) STUDY OF A MIXED PROBLEM DESCRIBING THE OSCILLATIONS OF A ROD CONSISTING OF SEVERAL SEGMENTS WITH ARBITRARY LENGTHS.DOKLADY MATHEMATICS. VOL. 85. ISSUE 3. P. 399-402 6 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
2 4237 CARLEMAN ESTIMATES//NULL CONTROLLABILITY//CARLEMAN INEQUALITIES
3 31810 BEST PARAMETERS//BARBASHIN TYPE EQUATIONS//FUNCTIONALS WITH DEVIATING ARGUMENTS
4 13977 HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS
5 20675 NEUTRAL TYPE SYSTEMS//MAXIMAL ASYMPTOTICS//NONLINEAR STOCHASTIC DELAY EQUATIONS
6 15282 WAVEFORM RELAXATION//OPTIMIZED SCHWARZ METHODS//WAVEFORM RELAXATION METHOD
7 17535 EXTREMAL ELASTIC STRUCTURES//KOLOSOV MUSKHELISHVILI POTENTIALS//PLANE ELASTICITY PROBLEM
8 14383 REPRODUCING KERNEL SPACE//NONLOCAL BOUNDARY CONDITIONS//REPRODUCING KERNEL METHOD
9 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
10 8884 INVERSE CONDUCTIVITY PROBLEM//DIRICHLET TO NEUMANN MAP//CALDERON PROBLEM

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